Timex Expedition - Rob Lowe - Dog Gone
The exact model is the Timex Expedition Metal Field 37mm Leather Strap watch, model nr T498709J.
The rugged outdoor watch has a 37mm brass case, a cream dial with INDIGLO light, silver hands and black seconds hand, and a date window at the 3 o'clock position.
It has a leather strap with dark stitching and Expedition logo.
Retail price of this quartz watch is $60 but you can get it on Amazon for only $43.